Midterm 1 Review: M408C, 56250/55/60/80/85/90, Spring 2009
 
Important topics:

  Definition of the Limit (p. 66)
  Limit Laws 1-11 (sec. 2.3)
  Direct Substitution Property (p. 80)
  Squeeze Theorem (p. 83) 
  Definition of Continuity (p. 97)
  Theorems 7, 8, 9 (pp. 102, 103)

  Definition of the Derivative (p. 116)
  Relation to Tangent Lines (bottom of p. 116)
  Definition of a Differentiable Function (sec. 2.3)
  Differentiation Formulas (p. 144)
  Derivatives of Trigonometric Functions (p. 152)
  The Chain Rule (p. 156)
  Technique of Implicit Differentiation (sec. 3.6)

Practice problems:

  2.2 The Limit of a Function (#5,9)
  2.3 Limit Laws (#15,17,19,21,25)
  2.5 Continuity (#3,5,31,33)
  Chapter 2 Review (#3,9,11,18)

  3.1 Derivatives (#5,21,25,27,31)
  3.2 The Derivative as a Function (#21,23,25,33)
  3.3 Differentiation Formulas (#19,23,27,37)
  3.4 Derivatives of Trig. Functions (#5,11,15,29)
  3.5 The Chain Rule (#9,13,27,51)
  3.6 Implicit Differentiation (#5,7,19,21)
  Chapter 3 Review (#5,15,19,29)

Suggestion: When you work the problems listed above, I strongly
suggest that you try to simulate the conditions of the midterm.  Copy
the problems listed from your textbook on to blank paper, with 4
problems per page.  Then take that paper and a pencil to the library,
leaving textbooks, laptops, ipods, and cellphones at home.  Sit by
yourself and try to work as many problems as possible, showing the
appropriate amount work, and giving explanations where necessary.  If
you get stumped on a given problem, move on to the next, and return to
it later.  When you can't work anymore problems, go home, check your
answers, and compute your practice midterm average.  If you're not
satisfied with the result, come to office hours.  (The last step
requires that you attempt the practice problems before Wednesday
morning.)

Disclaimer: This is not high school; the real midterm will not consist
of a subset of the practice problems with the numbers changed
slightly.